Solving singular convolution equations using the inverse fast Fourier transform.

DOI10.1007/s10492-012-0032-9zbMath1265.42020OpenAlexW2041580497MaRDI QIDQ1928181

Eduard Krajník, Peter Zizler, Václav Zizler, Vicente Montesinos Santalucía

Publication date: 2 January 2013

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/54482

zbMATH Keywords

fast Fourier transformtempered distributionpolynomial transfer functionsingular convolution equation

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (6)

An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ Existence of analytic solutions for some classes of singular integral equations of non-normal type with convolution kernel ⋮ Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems ⋮ Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions ⋮ Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem ⋮ ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION

Cites Work

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• THE PRODUCT OF DISTRIBUTIONS
• Note on Degree of Approximation to an Integral by Riemann Sums

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